Least Common Multiple (LCM) of 167 and 39
The least common multiple (LCM) of 167 and 39 is 6513.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 167 and 39?
First, calculate the GCD of 167 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 39 = 4 remainder 11 |
| 2 | 39 ÷ 11 = 3 remainder 6 |
| 3 | 11 ÷ 6 = 1 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 114 | 5130 |
| 131 and 44 | 5764 |
| 123 and 117 | 4797 |
| 27 and 46 | 1242 |
| 99 and 112 | 11088 |